A024469 - OEIS

A024469

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers).

1, 3, 13, 19, 48, 79, 176, 283, 580, 940, 1844, 2982, 5667, 9171, 17047, 27581, 50404, 81557, 147090, 237995, 424686, 687158, 1215528, 1966764, 3453733, 5588259, 9752641

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..27.

FORMULA

Conjecture: G.f.: -x*(1+2*x+7*x^2-x^3-4*x^4+2*x^5) / ( (x^2+1) *(x^2-x-1) *(x^2+x-1)^2 ). - R. J. Mathar, Apr 27 2020

CROSSREFS

Sequence in context: A211438 A018621 A236940 * A007697 A055202 A158016

Adjacent sequences: A024466 A024467 A024468 * A024470 A024471 A024472

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved